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In classical electromagnetism, Ampère's circuital law (not to be confused with Ampère's force law) [1] relates the circulation of a magnetic field around a closed loop to the electric current passing through the loop. James Clerk Maxwell derived it using hydrodynamics in his 1861 published paper "On Physical Lines of Force". [2]
A loop antenna is a radio antenna consisting of a loop or coil of wire, tubing, or other electrical conductor, that for transmitting is usually fed by a balanced power source or for receiving feeds a balanced load. Within this physical description there are two (possibly three) distinct types:
Loop antenna - a coil which serves as a radio antenna, to convert radio waves to electric currents. Rogowski coil - a toroidal coil used as an AC measuring device; Musical instrument pickup - a coil used to produce the output audio signal in an electric guitar or electric bass. Flux gate - a sensor coil used in a magnetometer
Classical electromagnetism or classical electrodynamics is a branch of physics that studies the interactions between electric charges and currents using an extension of the classical Newtonian model.
For example, since the magnetic field is divergence-free (Gauss's law for magnetism; i.e., =), always exists that satisfies the above definition. The vector potential A {\displaystyle \mathbf {A} } is used when studying the Lagrangian in classical mechanics and in quantum mechanics (see Schrödinger equation for charged particles , Dirac ...
In magnetostatics, the force of attraction or repulsion between two current-carrying wires (see first figure below) is often called Ampère's force law. The physical origin of this force is that each wire generates a magnetic field , following the Biot–Savart law , and the other wire experiences a magnetic force as a consequence, following ...
In three dimensions, the derivative has a special structure allowing the introduction of a cross product: = + = + from which it is easily seen that Gauss's law is the scalar part, the Ampère–Maxwell law is the vector part, Faraday's law is the pseudovector part, and Gauss's law for magnetism is the pseudoscalar part of the equation.
Here denotes the number of turns in loop ; is the magnetic flux through loop ; and , are some constants described below. This equation follows from Ampere's law: magnetic fields and fluxes are linear functions of the currents.
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